Typical properties of dynamic systems and the instability of hydrodynamic flows |
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Authors: | Ji?í Horák Reviewer J Navrátil |
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Institution: | (1) Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague |
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Abstract: | Summary Based on Peixot's theorem of topological dynamics, the unstable behaviour of hydrodynamic flows on a two-dimensional annuloid T
2
is analysed. The generating property is the curvature of the group of S
0
Diff T
2
diffeomorphisms of the (Riemannian) flow region T
2
. This group is the configuration space of the ideal fluid flowing on T
2
.
a m ma u mn u ¶rt;uauu ¶rt;am mu n¶rt;uu¶rt;¶rt;uauu nm a ¶rt; m T
2
u¶rt; mu. ¶rt;au m m a m uuann S
0
Diff T
2
¶rt;uu amu mu ( uaa) T
2
. manna m uau nmam ¶rt; u¶rt;a u¶rt;mu a T
2
. |
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Keywords: | |
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